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Finding the Fourth Proportional to 22,282.57, 30,748.60 and 12,209

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Solution

The fourth proportional to 22,282.57, 30,748.60 and 12,209 is: 16,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.57 : 30,748.60 = 12,209 : x
  2. Step 2: Convert to fraction form
    22,282.57/30,748.60 = 12,209/x
  3. Step 3: Cross multiply
    22,282.57x = 30,748.60 × 12,209
  4. Step 4: Simplify right side
    22,282.57x = 375,409,657.40
  5. Step 5: Solve for x
    x = 375,409,657.40/22,282.57
  6. Step 6: Final answer
    x = 16,847.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.